For estimated regression equation SST=1,550 and SSE =590

(b) Suppose that variables x, and x, are added to the model and the following regression equation is obtained. y = 16.3 + 2.3x1 + 12.1x2 - 5.8x3 For this estimated regression equation SST = 1,550 and SSE = 100. Use an F test and a 0.05 level of significance to determine whether x, and x, contribute significantly to the model. State the null and alternative hypotheses. OH : B + 0 H : B 1 = 0 OH: B2 = B3 = 0 H. : One or more of the parameters is not equal to zero. O H: One or more of the parameters is not equal to zero. Ha: B 2 = B 3 = 0 OH: B 1 = 0 Ha : B , $ 0 Find the value of the test statistic. 111. 17 X Enter a number. Find the p-value. (Round your answer to three decimal places.) p-value = 0:000 Is the addition of x, and x; significant? O Reject H . We conclude that the addition of variables and